134k views
5 votes
The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

User Dkato
by
8.3k points

1 Answer

4 votes

Answer:

Base = 18 inches

Height = 54 inches

Explanation:

The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

The area of a parallelogram is given as:

Base × Height

Height = h = 3b

Area = 972 square inches

We substitute

972 = b × 3b

972 = 3b²

Divide both sides by 3.

b² = 972/3

b² = 324

b = √324

b = 18 inches

Solving for h

h = 3b

h = 3 × 18

h = 54 inches

Therefore,

Base = 18 inches

Height = 54 inches

User Loktar
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories